Answer:
Yes, it is a linear equation. This equation is in y=mx+b form, which is a linear equation. To rearrange it into y=mx+b form, you'll just do y= -2x+8
To make a line, you only need two points, so here are two points that fit into the line of y= -2x+8:
(0,8) and (1,6)
450
If he used 1/3 of the stock bottle, then you have
150=1/3x
Now, you multiply both sides by 3, which gives you
450=x
So, originally there were 450 bottles in the stock bottle
Domain is the numbers yo can use
we has a sqrt and a ln
we cant have any neagtive ln's or sqrts
x cannot be negative
it cannot be 0 either
domain is all numbers bigger than 0
deritivive
apply chain rule
dy/dx(f(g(x))=f'(g(x))g'(x)
and also
dy/dx (lnx)=1/x
and
dy/dx(f(x)g(x))=f'(x)g(x)+g'(x)f(x)
and from experience
dy/dx(sqrtx)=1/(2√x)
so
dy/dx(ln(2xsqrt(2+x)))=
(1/(2xsqrt(2+x))(2)(sqrt(2+x)+(x/(2sqrt(2+x))=
(3x+4)/(2x(x+2))
domain is all real numbers greater than 0
derivitive is